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Finding the Fourth Proportional to 825.60, 1,130.40 and 825.60

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Solution

The fourth proportional to 825.60, 1,130.40 and 825.60 is: 1,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.60 : 1,130.40 = 825.60 : x
  2. Step 2: Convert to fraction form
    825.60/1,130.40 = 825.60/x
  3. Step 3: Cross multiply
    825.60x = 1,130.40 × 825.60
  4. Step 4: Simplify right side
    825.60x = 933,258.24
  5. Step 5: Solve for x
    x = 933,258.24/825.60
  6. Step 6: Final answer
    x = 1,130.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.